L = w + 11 P = 86 in P = 2 L + 2 w 2 ( w + 11 ) + 2 w = 86 2 w + 22 + 2 w = 86 4 w = 86 − 22 4 w = 64 w = 4 64 = 16 in L = 16 + 11 L = 27 in
The length of the rectangle is 27 inches, derived from the relationship between width and length and the given perimeter. After setting up the equations related to the perimeter, we solved for the width and then found the length. The calculated length matches the length condition provided in the problem.
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